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Finding the Fourth Proportional to 51,769.68, 71,424.98 and 42,193.11

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Solution

The fourth proportional to 51,769.68, 71,424.98 and 42,193.11 is: 58,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,769.68 : 71,424.98 = 42,193.11 : x
  2. Step 2: Convert to fraction form
    51,769.68/71,424.98 = 42,193.11/x
  3. Step 3: Cross multiply
    51,769.68x = 71,424.98 × 42,193.11
  4. Step 4: Simplify right side
    51,769.68x = 3,013,641,851.22
  5. Step 5: Solve for x
    x = 3,013,641,851.22/51,769.68
  6. Step 6: Final answer
    x = 58,212.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.